What is the Least Common Multiple of 38492 and 38502?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 38492 and 38502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38492 and 38502, than apply into the LCM equation.

GCF(38492,38502) = 2
LCM(38492,38502) = ( 38492 × 38502) / 2
LCM(38492,38502) = 1482018984 / 2
LCM(38492,38502) = 741009492

Least Common Multiple (LCM) of 38492 and 38502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38492 and 38502. First we will calculate the prime factors of 38492 and 38502.

Prime Factorization of 38492

Prime Factorization of 38502

Now multiplying the highest exponent prime factors to calculate the LCM of 38492 and 38502.

LCM(38492,38502) = 2² × 9623¹ × 3³ × 23¹ × 31¹
LCM(38492,38502) = 741009492